Question

Lincoln High School's basketball team won the regional playoffs scoring a

total of 60 points, not including free throws. The team made a total of 26
baskets; some were 2-point shots, and the rest were 3-point shots. How
many 2-point shots did the team make?

Answer 1

y = 8

x = 18

Explanation:

(x + y = 26) x2 -1

2x+3y = 60 -2

2x+2y = 52 -1

2x+3y = 60 -2

Subtracting equation 2 from equation 1

= -y = -8

= y = 8

_____________________________________________________

2x+3y = 60

= 2x+3x8 = 60

= 2x+24 = 60

= 2x = 60-24

= 2x = 36

= x = 36/2

= x = 18